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Title: Complementarity - the way towards guaranteed error estimates (English)
Author: Vejchodský, Tomáš
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 6-11, 2010
Issue: 2010
Pages: 205-220
Category: math
Summary: This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamental properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples. (English)
Keyword: complementarity
Keyword: guaranteed upper error bounds
Keyword: method of hypercircle
Keyword: a posteriori error estimates
Keyword: error majorants
MSC: 65N15
MSC: 65N30
Date available: 2015-07-08T06:55:19Z
Last updated: 2015-07-08
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